An integral operator associated with differential superordinations. (English) Zbl 1199.30049

Bălăeţi, Camelia Mădălina

An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 17, No. 3, 37-44 (2009).

Summary: We give certain superordination results using a certain integral operator. These results are related to some normalized holomorphic functions in the unit disc \(U=\{z\in\mathbb C\;:\;| z| <1\}\).

MSC:

30C45	Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C80	Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination

Keywords:

integral operator; differential superordination; differential subordination